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On the reduction of Ferrers' associated Legendre function. - MaRDI portal

On the reduction of Ferrers' associated Legendre function. (Q1835414)

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scientific article; zbMATH DE number 2570055
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English
On the reduction of Ferrers' associated Legendre function.
scientific article; zbMATH DE number 2570055

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    On the reduction of Ferrers' associated Legendre function. (English)
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    1929
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    Verf. leitet eine Rekursionsformel für die Funktionen \[ T_n^s(x) = (1-x^2)^{\frac{s}{2}-k} \, (1-x^2)^k \frac{d^s \, P_n}{dx^s} \] her, wobei \(P_n\) das \(n\)-te Legendresche Polynom bedeutet.
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    recursion formula
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    Legendre polynomial
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